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math.FA2026
On Besov and Triebel-Lizorkin spaces associated with the Grushin operator
Sayan Bagchi, Nishta Garg, Rahul Garg
In this article, we define classical and non-classical Besov and Triebel--Lizorkin spaces associated with the Grushin operator with or without drift. We establish various character…
math.FA2026
On Sobolev spaces for the Grushin operator
Nishta Garg, Rahul Garg
We define Sobolev spaces associated with the Grushin operator with or without drift. We study some of their norm equivalences and establish embedding and algebra properties. We als…
math.FA2026
Quantum Hermite functions and Fourier Transform of operators
Rahul Garg, Sundaram Thangavelu
We construct operator analogues of Hermite functions which form an orthonormal basis for the Hilbert space of Hilbert-Schmidt operators on We use thi…